Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
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Exercise 4 Page 20

Describe the parent function and then graph the functions in one coordinate plan.

Graph:

Transformation: A vertical translation 12 units up.

Practice makes perfect

The given function is constant, so its parent function is y=1. We will start by graphing both functions in one coordinate plan. Then we will compare them to describe the transformation.

Graphing the Functions

Now let's plot the functions! Notice that we will get two horizontal lines. The first line will be passing through every point that has a y-coordinate of 1, and the second line will pass through every point with a y-coordinate of 32.

Comparing the Functions

Having drawn our functions, we can describe the transformation.

We see that each y-value is being shifted 12 units up. This is a vertical translation.